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A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of cylinder is 24 m. The height of the cylindrical portion is 11 m while the vertex of the cone is 16 m above the ground.Find the area of canvas required for the tent.

If the lines given by $3x+2y=2and2x+5y+1=0$ are parallel then the value of k is

(a) $\frac{-5}{4}$ (b) $\frac{2}{5}$ (c) $\frac{3}{2}$ (d) $\frac{15}{4}$

A square of diagonal 8 cm is inscribed in a circle. Find the area of the region lying outside the circle and inside the square.

A die thrown. Find the probability of getting :

(i) a prime number

(ii) 2 or 4

(iii) a multiple of 2 or 3

(iv) an even prime number

(v) a number greater than 5

(vi) a number lying between 2 and 6

Each of the letters in the word PILOTS is on separate cards, face down on the table. If you pick a card at random, what is the probability that its letter will be T or L?

The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle in cm which has circumference equal to the sum of the circumferences of the two circles.

A die is thrown thrice , if the first throw is $5$, then the chance of getting $15$ as the sum is

Find x and y if $\left[\begin{array}{c}5x\\ 3y\end{array}\right]=\left[\begin{array}{c}-25\\ -15\end{array}\right]$

When we use the formula for this quadratic equation 9x^2-9 (a+b)x +(2a^2×5ab+2b^2)=0

Does not understand the chapter

In the figure, $PA$ is a tangent to the circle. $PBC$ is secant and $AD$ bisects angle $BAC$. Select the statements that are true.

Show that $△ABC$, where A (-2, 0), B (2, 0), C (0, 2) and $△PQR$ , where P (-4, 0), Q (4, 0) R (0, 4) are similar.

The curved surface area and the total surface area of a hemisphere of radius 7 cm will be

Suppose the daily revenue from selling x boxes of candy is given by the equation R = 12x, where R is the revenue in Rs. The daily cost of operating the store and making the candy is given by the equation C = 8x + 96, where C is the making cost in Rs. For how many boxes of candy will revenue exceed making cost?

A man sold 400 (Rs 20) shares of a company, paying 5% at Rs 18 and invested the proceeds in (Rs 10) shares of another company paying 7% at Rs 12. How many (Rs 10) shares did he buy and was the change in his income ?

1. 224

An observer 1.5 m tall is 30 m away from a chimney. The angle of elevation of the top of the chimney from his eye is ${60}^{\circ }$. Find the height of the chimney.

Determine the nature of the roots of the following quadratic equations;
$\left(i\right)(x-2a)(x-2b)=4ab\left(ii\right)9a^2{b}^2{x}^2-24abcdx+16c^2{d}^2=0,a\ne 0,b\ne 0\left(iii\right)2(a^2+b^2)x^2+2(a+b)x+1=0\left(iv\right)(b+c)x^2-(a+b+c)x+a=0$

Factorize $\sqrt{3}$ $x^2$ + 5x + 2$\sqrt{3}$ = 0 by splitting the middle term and find the value of x.

If the sum of 7 terms of an A.P. is 49 and that of 17 terms is 289, find the sum of terms.

Fint the roots of the following quadratic equations (if they exist) by the method of completing the square.
$3x^2+11x+10=0$

if the roots of px2+qx+2=0 are reciprocal to each other then find the value of p

If the number of rows and columns of a matrix are not equal, then the matrix is called ___ matrix.

In the given right angled isosceles triangle ABC, if AC = 10 cm then the area of triangle (in $c{m}^2$) is :

Prove Remainder theorem.

The values of variables are 1, 2, 5, 7 and their respective frequencies are 10, 12, 9, 4. Find their weighted mean.

In the given figure, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. CD = 7.8 cm, PD = 5 cm, PB = 4 cm. Find :

(i) AB. (ii) the length of tangent PT.

If the points A(-2. 1), B (a, b) and C (4, -1) are collinear and a-b = 1, find the values of a and b.

The figure shows the graph of $y=x^2$. This graph is shifted downward by 9 units. Find the new roots of the equation.

The internal radii of the ends of a bucket, full of milk and of internal height 16 cm are 14 cm and 7 cm. If this milk is poured into a hemispherical vessel, the vessel is completely filled. The internal diameter of the hemispherical vessel would be

A lady holds 1,800 Rs.100 shares of a company that pays 15% dividend annually. If she had bought these shares at a premium of 40%, what percentage return does she get on her investment?

Give the answer correct to the nearest integer.

Find the sum of:
$si{n}^2{1}^{\circ }+si{n}^2{2}^{\circ }+si{n}^2{3}^{\circ }+si{n}^2{4}^{\circ }+..........si{n}^2{89}^{\circ }+si{n}^2{90}^{\circ }$

The circumcircle of a triangle passes through _____.

3, 7, 10, , 14, 16, 18, 20 are written in ascending order and their median is 13. Find and also their mean.

Two pipes running together can fill the tank in 11(1÷9) minutes. If one pipe tales 5 minutes more than the other to fill the tank separately. Find the time in which each pipe would fill the tank separately.

Question 2 (b)

Find the area of the following circle, given that: $(Take\pi =\frac{22}{7})$
diameter = 49 m

The total surface area of a box which is in the form of a cuboid whose dimensions are $l\times b\times h$ is__________.

If x+y=-2, then $x^3$+$y^3$+8 equals

If $x=rsin\alpha cos\beta ,y=rsin\alpha sin\beta$ and $z=rcos\alpha$, then

The angle of elevation of the top of a tower from a point on the ground, which is 60 m away from the foot of the tower, is ${60}^{\circ }$. Find the height of the tower.